Since you mentioned "Current book and last required section"... I think you are referring to the report named "Check-in and Progress Report Worksheet". If so, the answer is "Yes you can do some customization".
Notice in the middle of the report dialog you can select to show either:
a) Current Book & Last Section completed and blank lines to record new sections
b) Other - User a column heading of: ___________
Notice the button in the lower left of the dialog labeled "Select Visible Columns". Click this button and select exactly which columns you DO want to appear on the report output (clear checkmarks of those you do NOT want).